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11111220013 is a prime number
BaseRepresentation
bin10100101100100011…
…11100001100101101
31001200100201110102011
422112101330030231
5140223433020023
65034320001221
7542226545305
oct122621741455
931610643364
1011111220013
114791aa3063
1221a1160211
131080c990ca
14775982605
1545070d50d
hex29647c32d

11111220013 has 2 divisors, whose sum is σ = 11111220014. Its totient is φ = 11111220012.

The previous prime is 11111219971. The next prime is 11111220019. The reversal of 11111220013 is 31002211111.

It is a happy number.

11111220013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9768950244 + 1342269769 = 98838^2 + 36637^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111220013 - 213 = 11111211821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11111219975 and 11111220002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11111220019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555610006 + 5555610007.

It is an arithmetic number, because the mean of its divisors is an integer number (5555610007).

Almost surely, 211111220013 is an apocalyptic number.

It is an amenable number.

11111220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111220013 is an equidigital number, since it uses as much as digits as its factorization.

11111220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11111220013 its reverse (31002211111), we get a palindrome (42113431124).

The spelling of 11111220013 in words is "eleven billion, one hundred eleven million, two hundred twenty thousand, thirteen".